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Time, Clock & Calendar Medium 2 min

What is the smaller angle between the hour and minute hands at exactly 2:30?

Hint
The hour hand moves halfway between 2 and 3.

Answer

105 degrees.

Explanation

The minute hand is at 180 degrees. The hour hand is at 2×30 + 30×0.5 = 75 degrees. Difference = 105 degrees.

Step-by-Step Solution

Minute hand = 30×6 = 180°.
Hour hand = 60 + 15 = 75°.
Difference = 105°.
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